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Finding the Fourth Proportional to 2,858.39, 4,287.84 and 778.41

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Solution

The fourth proportional to 2,858.39, 4,287.84 and 778.41 is: 1,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.39 : 4,287.84 = 778.41 : x
  2. Step 2: Convert to fraction form
    2,858.39/4,287.84 = 778.41/x
  3. Step 3: Cross multiply
    2,858.39x = 4,287.84 × 778.41
  4. Step 4: Simplify right side
    2,858.39x = 3,337,676.10
  5. Step 5: Solve for x
    x = 3,337,676.10/2,858.39
  6. Step 6: Final answer
    x = 1,167.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.